已知a/a²-3a+1=3,求a²/a四次方+a²+1的值
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已知a/a²-3a+1=3,求a²/a四次方+a²+1的值
已知a/a²-3a+1=3,求a²/a四次方+a²+1的值
已知a/a²-3a+1=3,求a²/a四次方+a²+1的值
∵a/﹙a²-3a+1﹚=3﹙a≠0﹚
﹙a²-3a+1﹚/a=1/3
∴a-3+1/a=1/3
∴a+1/a=10/3
∴a²/﹙a^4+a²+1﹚=1/﹙a²+1+1/a²﹚=1/[﹙a+1/a﹚²-1]=1/﹙100/9-1﹚=9/91